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Finding the Fourth Proportional to 16,459.73, 22,714.29 and 8,906.06

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Solution

The fourth proportional to 16,459.73, 22,714.29 and 8,906.06 is: 12,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.73 : 22,714.29 = 8,906.06 : x
  2. Step 2: Convert to fraction form
    16,459.73/22,714.29 = 8,906.06/x
  3. Step 3: Cross multiply
    16,459.73x = 22,714.29 × 8,906.06
  4. Step 4: Simplify right side
    16,459.73x = 202,294,829.60
  5. Step 5: Solve for x
    x = 202,294,829.60/16,459.73
  6. Step 6: Final answer
    x = 12,290.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.